Gross domestic product (GDP) and gross domestic income (GDI), though conceptually equivalent, differ by statistical discrepancy (SD). Currently, there are no estimates of SD by industry. Lack of such information hinders a proper understanding of the sources of inconsistency in the national...

This paper develops and illustrates the multi-step generalization of the standard single-step perturbation (SSP) method or MSP. In SSP, we can think of evaluating at x the computed approximate solution based on x0, as moving from x0 to x in "one big step" along the straight-line vector x-x0. By...

The paper describes and illustrates a method for generalizing the standard computation of period-to-period percentage change of total factor productivity (TFP) to computation of TFP based on a best k-times-differentiable model. A "model" is a k-times-differentiable functional form of a...

The extent of output growth, hence, productivity growth in service industries has been controversial. Although official data indicate productivity growth slowdowns in 1948-60 and 1979- 98, some economists suggest the official figures are inaccurate due to mismeasured output, inputs, or both. The...

Recently, perturbation has received attention as a numerical method for computing an approximate solution of a nonlinear dynamic stochastic model, which we call a nonlinear rational expectations (NLRE) model. To date perturbation methods have been described and applied as single-step...

Two fundamental sources of output growth are production capital and technological knowledge. We consider technological knowledge in the form of total-factor productivity (henceforth, "productivity") in a constant-elasticity-of-substitution (CES) production function. But capital and productivity...

Consider the discrete-time state equation and feedback control rule (1) x(t) = Fx(t-1) + Gu(t) + e(t), (2) u(t) = Px(t-1), where x is an nx1 state vector, u is an mx1 control variable, and e is an nx1 disturbance distributed NIID(0,S), F and G are nxn and nxm parameter matrices, and P is an mxn...

The purpose of the paper is to derive and illustrate a new suboptimal-consistent feedback solution for infinite-horizon linear-quadratic dynamic Stackelberg games which is in the same solution space as the infinite-horizon dynamic programming feedback solution, but which puts the leader in a...